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Anno's Math Games III Author: Mitsumasa Anno Illustrator: Mitsumasa Anno Publisher: Philomel Books Copyright: 1982/1991 ISBN: 039922274X Number of Pages: 104 Ohio Standards Alignment: Grades 3–10
Anno's Math Games III is the third in a series of delightful books that are full of ideas to stimulate upper elementary and young adolescent student thinking. The text has four standalone chapters: Changing Shapes with Magic Liquid (stretching/shrinking); Exploring Triangles (tesselating/origami); Mazes (paths/open & closed); and Left and Right (symmetry/orientation). The Afterword provides mathematical explanations of each chapter. The illustrations are classic Anno sketches that easily draw students into the mathematical concepts in our world.
Go to: How to Use This Book Highlights and Insights Related ORC Resources Ohio Standards


How to Use This Book

 This book would serve as an excellent introduction to many topics in mathematics. Each geometry topic taught within the year could begin with an "Anno Adventure," and as the unit progresses, references could be made to the book.
 An excellent book to have in the classroom year round to stimulate student thinking and problemsolving skills. Students might even pose problems to fellow classmates in Anno's style.
 Students might want to create their own distortions of objects, or use the animals Anno has used and distort them in other ways.
 Coordination with the art teacher offers interesting possibilities. Older students could creat "Left and Right" books for younger students.
 Include vignettes from the book in journal prompts.
 Offer the book as a literature connection to concepts learned in class.


Highlights and Insights

 Visual imagery and spatial sense are well addressed throughout this book.
 Anno uses an enlargement grid system for children to enlarge drawings. Next, he changes the square grid enlargement process and creates distortions by placing a square grid over the original drawing and transferring image points onto a rectangular grid that has been stretched in various ways.
 Anno's bridge problem leads to a discussion of the Bridges of Konigsburg problem, which in turn leads to Euler's formula for traceable paths using even and odd vertices in line drawings. Anno connects this work to the theory of electrical circuits.


Related ORC Resources

Paper Quilts 3: Exploring Flips and Slides Resource Type: Lessons Discipline: Mathematics Grades: Grade 8 Professional Commentary: In this third lesson (in a unit of six) students use a 4square quilt pattern to explore translations (slides) and reflections (flips). The site includes activity and recording sheets, discussion questions, extensions, suggestions for assessment, supplemental book list, and reflection questions for the teacher.... Mirror, Mirror: Math Grows Up Resource Type: Lessons Discipline: Mathematics Grades: Grades 3–4 Professional Commentary: Students use hinged mirrors to discover that the regular polygons are composed of congruent triangles tessellating around a center point. Students then sketch these triangles on paper models of the regular polygons having 3 to 10 sides and compute the measure of the center angles formed by these triangles in each of the different polygons.... Resource Type: Lessons Discipline: Mathematics Grades: Grade 4 Professional Commentary: Students first explore making patterns with a variety of pattern blocks. They next engage in experiments of making tile designs using only one shape by rotating that shape around a point.... Covering the Plane with RepTiles Resource Type: Lessons Discipline: Mathematics Grades: Grade 7 Professional Commentary: A reptile is a geometric figure such that n copies of the figure can fit together to form a larger, similar figure. In this lesson, students can experiment with various shapes and values of n to see which combinations will tessellate the plane.... Speedy Delivery: Service Woes Resource Type: Lessons Discipline: Mathematics Grades: Grades 9–12 Professional Commentary: Students explore several variations of the traveling salesman problem: What is the shortest path through a network that will hit all nodes and return to the starting point? Activity sheets guide students through a shortest path algorithm to find the best route for a delivery company driver to follow.... Outel Semiconductor: Recruiting Circuit Resource Type: Lessons Discipline: Mathematics Grades: Grades 9–12 Professional Commentary: Students explore a variation of the traveling salesman problem based on cost: What is the cheapest path through a network that will hit all nodes and return to the starting point? Activity sheets guide students through a bruteforce approach and then a nearestneighbor algorithm to find the cheapest route for a college recruiter to follow in... Toothpicks and Transformations: Quadratic Functions Resource Type: Lessons Discipline: Mathematics Grades: Grades 9–11 Professional Commentary: How many toothpicks does it take to make an n x n square composed of 1 x 1 squares? The lesson begins with a review of transformations of quadratic functionsvertical and horizontal shifts, and stretches and shrinks.... Regular Pentagons, "Star Polygons," and the Golden Ratio Resource Type: Lessons Discipline: Mathematics Grades: Grades 7–8 Professional Commentary: This learning unit helps students explore the golden ratio and golden rectangles and to find the golden ratio in regular pentagons and in the Fibonacci sequence. Students use Geometer's Sketchpad® to rotate, translate, and dilate various figures to solve problems....


Ohio Standards

Geometry and Spatial Sense Standard


